2972664400 has 60 divisors (see below), whose sum is σ = 7372238464. Its totient is φ = 1150704000.

The previous prime is 2972664391. The next prime is 2972664407. The reversal of 2972664400 is 44662792.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972664407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107466 + ... + 132265.

Almost surely, 2^2972664400 is an apocalyptic number.

2972664400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2972664400 is an abundant number, since it is smaller than the sum of its proper divisors (4399574064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2972664400 is a wasteful number, since it uses less digits than its factorization.

2972664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239780 (or 239769 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 2972664400 is about 54522.1459592338. The cubic root of 2972664400 is about 1437.8556690183.

The spelling of 2972664400 in words is "two billion, nine hundred seventy-two million, six hundred sixty-four thousand, four hundred".